Finding the Fourth Proportional to 205,762.13, 283,962.76 and 115,112.68
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Solution
The fourth proportional to 205,762.13, 283,962.76 and 115,112.68 is: 158,861.66
Step by Step Solution
- Step 1: Write the proportion equation
205,762.13 : 283,962.76 = 115,112.68 : x - Step 2: Convert to fraction form
205,762.13/283,962.76 = 115,112.68/x - Step 3: Cross multiply
205,762.13x = 283,962.76 × 115,112.68 - Step 4: Simplify right side
205,762.13x = 32,687,714,323.80 - Step 5: Solve for x
x = 32,687,714,323.80/205,762.13 - Step 6: Final answer
x = 158,861.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.